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18 Cards in this Set
- Front
- Back
- 3rd side (hint)
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When is a set open? |
When all points in the set are interior |
It has to do with the points in the set |
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Define complex number |
Any number of the form a+bi where a and b are real #'s and i is the imaginary unit |
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When are z_1=a_1+ib_1 and z_2=a_2+ib_2 aka z_1=z_2 equal? |
When a_1=a_2 and b_1=b_2 |
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Z-zbar = |
2ib |
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Z+zbar = |
2a |
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Z×zbar = |
a^2+b^2 |
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z×z^(-1) = |
1 |
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|z|= (in terms of x and y) |
sqrt(x^2+y^2) |
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|z|^2 = (in terms of z's) |
z×zbar |
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|z|^2 = (in terms of x's & y's) |
x^2+y^2 |
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|z| = (in terms of z's) |
sqrt(z×zbar) |
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Polar form of a complex number |
Z=r cos (theta)+ r sin(theta)i |
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Cos theta = |
x/r |
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Sin theta = |
y/r |
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When is a set not closed? |
When it does not contain its boundarie(s) |
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When is a set a domain? |
When it is open and connected |
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When is a set not bounded? |
When it cannot be contained in a circle |
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When is a set connected? |
When any two points can be connected and it stays in the set |
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